Marissa is studying the relationship between the number of hours she spends studying mathematics, denoted by the variable $h$, and her test scores, denoted by the variable $s$. She realizes that she can predict her math test score using the linear equation:
$$s = 10h + 70$$
After studying for $4$ hours, Marissa's score from the equation is $s = 10(4) + 70$. However, she also noted that her actual test score was $95$. To explore further, she decided to adjust her equation to account for another variable, the number of practice tests she takes, denoted by $t$, and believes the new relationship can be described by:
$$s = 10h + 5t + 70$$
If Marissa plans on studying for $6$ hours and taking $3$ practice tests, what will her predicted score be according to the new equation?